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Find the Indicated Roots 27(cos⁡321∘+isin⁡321∘)27 \left( \cos 321 ^ { \circ } + i \sin 321 ^ { \circ } \right)

Question 231

Multiple Choice

Find the indicated roots. Write the answer in polar form.
-Cube roots of 27(cos⁡321∘+isin⁡321∘) 27 \left( \cos 321 ^ { \circ } + i \sin 321 ^ { \circ } \right)


A) 3(cos⁡107∘+isin⁡107∘) ,3(cos⁡227∘+isin⁡227∘) ,3(cos⁡347∘+isin⁡347∘) 3 \left( \cos 107 ^ { \circ } + i \sin 107 ^ { \circ } \right) , 3 \left( \cos 227 ^ { \circ } + i \sin 227 ^ { \circ } \right) , 3 \left( \cos 347 ^ { \circ } + i \sin 347 ^ { \circ } \right)
B) 3(cos⁡197∘+isin⁡197∘) ,3(cos⁡257∘+isin⁡257∘) ,3(cos⁡137∘+isin⁡137∘) 3 \left( \cos 197 ^ { \circ } + i \sin 197 ^ { \circ } \right) , 3 \left( \cos 257 ^ { \circ } + i \sin 257 ^ { \circ } \right) , 3 \left( \cos 137 ^ { \circ } + i \sin 137 ^ { \circ } \right)
C) 3(cos⁡107∘+isin⁡107∘) ,3(cos⁡167∘+isin⁡167∘) ,3(cos⁡47∘+isin⁡47∘) 3 \left( \cos 107 ^ { \circ } + i \sin 107 ^ { \circ } \right) , 3 \left( \cos 167 ^ { \circ } + i \sin 167 ^ { \circ } \right) , 3 \left( \cos 47 ^ { \circ } + i \sin 47 ^ { \circ } \right)
D) 3(cos⁡107∘+isin⁡107∘) ,3(cos⁡227∘+isin⁡227∘) ,3(cos⁡227∘+isin⁡227∘) 3 \left( \cos 107 ^ { \circ } + i \sin 107 ^ { \circ } \right) , 3 \left( \cos 227 ^ { \circ } + i \sin 227 ^ { \circ } \right) , 3 \left( \cos 227 ^ { \circ } + i \sin 227 ^ { \circ } \right)

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